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Math Knowledge ASVAB Test 2024 With Complete Solutions
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Math Knowledge ASVAB Test 2024 With Complete Solutions
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Math Knowledge ASVAB Test 2024With Complete Solutions
E: Using Descartes' Rule of Signs, count the number of sign changes in coefficients in the
polynomial. This results in the number of possible positive zeros. The coefficients are 1, -3, 2, 1,
and -3, so the sign changes from 1 to -3, -3 to 2, and 1 to -3, a total of 3 times. Therefore, there
are at most 3 positive zeros. - ✔✔What is the solution?
A: 8
Exponent rule: a^b ×a^c = a ^ b+c
The 16 and 16 combine and now were left with just adding the exponents.
1) 1/4+2/4= 3/4
2) 16^3/4
3) Factor 16 to 2^4
4) (2^4)^3/4
,5) 4 x 3/4 = 3
6) 2^3 = 8 - ✔✔What is the solution?
1) move 7 to the right side.
-4/5x < -32/5
2) Multiply both sides by -1, this will make them positive and switch the sign from < to >
4/5x > 32/5
3) Multiply both sides by 5
4x > 32
4) Divide both sides by 4
x>8
,Open circle so the line is going right to infinity.
(8, infinity) which is B. - ✔✔19. What is the solution to the following linear inequality?
D: Let x be the missing quantity. The problem can be expressed as the following equation: 3(5-x)
= x-5. Distributing the 3 results in:
15 -3x = x+5. Subtract 5 from both sides, add 3x to both sides, and then divide both sides
by 4. This results in:
10/4 = 5/2 =2.5 - ✔✔20. Triple the difference of five and a number is equal to the sum of
that number and 5. What is the number?
B: The slopes of perpendicular lines are negative reciprocals, meaning their product is equal to -
1. The slope of the line given needs to be found. Its equivalent form in slope-intercept form is
y = -4/7x + 23, so its slope is -4/7, The negative reciprocal of this number is 7/4, only line in
the options given with this same slope is y = 7/4x -12. - ✔✔What is the solution?
B: The outlier is 35. When a small outlier is removed from a data set, the mean and the median
increase. The first step in this process is to identify the outlier, which is the number that lies
away from the given set. Once the outlier is identified, the mean and median can be recalculated.
The mean will be affected because it averages all of the numbers. The median
will be affected because it finds the middle number, which is subject to change because a
number is lost. The mode will most likely not change because it is the number that occurs the
most, which will not be the outlier if there is only one outlier. - ✔✔22. The following set
represents the test scores from a university class: {35,79, 80, 87, 87, 90, 92, 95, 95, 98, 99}. If
the outlier is removed from this set, which of the following is TRUE?
, a. The mean and the median will decrease.
b. The mean and the median will increase.
c. The mean and the mode will increase.
d. The mean and the mode will decrease.
e. The mean, median, and mode will increase.
A: Division can be used to solve this problem. The division necessary is:
(5.972 x 10²⁴)/(7.348x10²²) To compute this division, divide the constants first then use algebraic
laws of exponents to divide the exponential expression. This results in about 0.8127x10², which
written in scientific notation is 8.127x10¹. - ✔✔What is the solution?
C: First, the slope of the line must be found. This is equal to the change in y over the change in
x, given the two points.
The slope formula is m=(y2-y1)/(x2-x1)
(-5-7)/(-1-(-3)) = -6
Therefore, the slope is -6.
The slope and one of the points are then plugged into the slope-intercept form of a line: y-y₁
=m(x-x₁).
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